Finding the Third Proportional to 132.05 and 190.27

Step by Step Solution

1. Step 1: Write the proportion equation
   132.05 : 190.27 = 190.27 : x
2. Step 2: Convert to fraction form
   132.05/190.27 = 190.27/x
3. Step 3: Cross multiply
   132.05x = 190.27 × 190.27
4. Step 4: Simplify right side
   132.05x = 36,201.01
5. Step 5: Solve for x
   x = 36,201.01/132.05
6. Step 6: Final answer
   x = 274.15